高動(dòng)態(tài)多普勒頻率估計(jì)及其Cramer-Rao界
Estimation of High Dynamic Doppler Frequency and Its Cramer-Rao Bounds
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摘要: 用泰勒級(jí)數(shù)展開(kāi)的形式表示高動(dòng)態(tài)的多普勒頻率參數(shù)，推導(dǎo)分析了對(duì)各階頻率參數(shù)估計(jì)的最大似然估計(jì)器(MLE)及其估計(jì)誤差的Cramer Rao界；描述了最大似然估計(jì)器和擴(kuò)展卡爾曼濾波器(EKF) 對(duì)各階頻率參數(shù)的估計(jì)模型；并以均方根估計(jì)誤差和失鎖概率為性能指標(biāo)，通過(guò)對(duì)同一模擬的接收機(jī)高動(dòng)態(tài)軌跡的跟蹤估計(jì)，比較了兩種不同估計(jì)技術(shù)的基本性能。Abstract: The Doppler frequency of received signal is calculated by a Taylor series, the Cramer-Rao bounds on the estimation error is Derived and analyzed; The estimation techniques as Maximum Likelihood Estimator(MLE) and Extended Kalman Filter(EKF) are compared; Their basic frequency error performance and probability of loss-of-lock at various signal-to-noise ratios is compared by tracking a common simulated high-dynamic trajectory.
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Hinedi S, Statman J I. Digital accumulators in phase and frequency tracking loops. IEEE Trans.on AES, 1990, AES-26(1): 169-180.[2]王曉湘,柯有安.高動(dòng)態(tài)多普勒頻率的最大似然估計(jì)器.北京郵電大學(xué)學(xué)報(bào),2000,23(1):61-65.[3]王曉湘,柯有安.多普勒頻率跟蹤的四階加權(quán)擴(kuò)展卡爾曼濾波器.北京郵電大學(xué)學(xué)報(bào),2001,24(1):88-91.[4]宋文堯,張牙.卡爾曼濾波.北京:科學(xué)出版社,1991.[5]Friedlander B. On the Cramer-Rao bound for time delay and doppler estimation. IEEE Trans.on Information Theory, 1984, IT-30(30): 575-581. -
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